Import Question JSON

Current Question (ID: 10507)

Question:

$\text{Water rises to a height h in a capillary at the surface of earth. On the surface of the moon, the height of water column in the same capillary will be:}$

Options:

1. $6\text{h}$
2. $\frac{1}{6}\text{h}$
3. $\text{h}$
4. $\text{zero}$

Solution:

\text{Hint: Capillary rise is inversely proportional to gravity on planet.} \\ \text{Step 1: Write formula for capillary rise.} \\ h = \frac{2S\cos\theta}{\rho gr} \\ h \propto \frac{1}{g} \\ \frac{h_m}{h_e} = \frac{g_e}{g_m} \\ h_m = 6h \text{ where } g_m = \frac{1}{6} g_e

Import JSON File

Upload a JSON file containing LaTeX/MathJax formatted question, options, and solution.

Expected JSON Format:

{
  "question": "The mass of carbon present in 0.5 mole of $\\mathrm{K}_4[\\mathrm{Fe(CN)}_6]$ is:",
  "options": [
    {
      "id": 1,
      "text": "1.8 g"
    },
    {
      "id": 2,
      "text": "18 g"
    },
    {
      "id": 3,
      "text": "3.6 g"
    },
    {
      "id": 4,
      "text": "36 g"
    }
  ],
  "solution": "\\begin{align}\n&\\text{Hint: Mole concept}\\\\\n&1 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\text{ moles of carbon atom}\\\\\n&0.5 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\times 0.5 \\text{ mol} = 3 \\text{ mol}\\\\\n&1 \\text{ mol of carbon} = 12 \\text{ g}\\\\\n&3 \\text{ mol carbon} = 12 \\times 3 = 36 \\text{ g}\\\\\n&\\text{Hence, 36 g mass of carbon present in 0.5 mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6].\n\\end{align}",
  "correct_answer": 4
}